13314557771424 has 768 divisors, whose sum is σ = 53271016243200. Its totient is φ = 3131019214848.

The previous prime is 13314557771371. The next prime is 13314557771461. The reversal of 13314557771424 is 42417775541331.

13314557771424 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 4 + 557 + 77 + 14 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25133409 + ... + 25657695.

It is an arithmetic number, because the mean of its divisors is an integer number (69363302400).

Almost surely, 2^{13314557771424} is an apocalyptic number.

13314557771424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314557771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26635508121600).

13314557771424 is an abundant number, since it is smaller than the sum of its proper divisors (39956458471776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13314557771424 is a wasteful number, since it uses less digits than its factorization.

13314557771424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524362 (or 524348 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 13314557771424 in words is "thirteen trillion, three hundred fourteen billion, five hundred fifty-seven million, seven hundred seventy-one thousand, four hundred twenty-four".